Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology

Çağrı Karakurt; Oğuz Şavk

doi:10.1007/s10474-022-01280-9

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arXiv · 2204.06597

Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology

Çağrı Karakurt·Oğuz Şavk

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Abstract

Continuing our previous work, we effectively compute connected Heegaard Floer homologies of two families of Brieskorn spheres realized as the boundaries of almost simple linear graphs. Using Floer theoretic invariants of Dai, Hom, Stoffregen, and Truong, we show that these Brieskorn spheres also generate infinite rank summands in the homology cobordism group. Our computations also have applications to the concordance of classical knots and $0$-concordance of $2$-knots.

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Çağrı Karakurt, Oğuz Şavk. 2023-03-11. Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology. https://doi.org/10.1007/s10474-022-01280-9

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